One-to-One functions

One-to-One functions

Assessment

Flashcard

Mathematics

10th Grade

Practice Problem

Medium

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Wayground Content

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16 questions

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1.

FLASHCARD QUESTION

Front

What is a one-to-one function?

Back

A one-to-one function is a function where each output is produced by exactly one input, meaning no two different inputs map to the same output.

2.

FLASHCARD QUESTION

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a relation is a function. If a vertical line intersects the graph at more than one point, the relation is not a function.

3.

FLASHCARD QUESTION

Front

What is the horizontal line test?

Back

The horizontal line test is used to determine if a function is one-to-one. If any horizontal line intersects the graph more than once, the function is not one-to-one.

4.

FLASHCARD QUESTION

Front

How do you find the inverse of a function?

Back

To find the inverse of a function, swap the x and y coordinates in the ordered pairs and solve for y.

5.

FLASHCARD QUESTION

Front

What does it mean for a function to be not a function?

Back

A relation is not a function if at least one input is associated with more than one output.

6.

FLASHCARD QUESTION

Front

Example of a one-to-one function: f(x) = 2x + 3. Is it one-to-one?

Back

Yes, because each input x produces a unique output.

7.

FLASHCARD QUESTION

Front

Example of a function that is not one-to-one: f(x) = x^2. Why is it not one-to-one?

Back

Because both positive and negative values of x produce the same output (e.g., f(2) = 4 and f(-2) = 4).

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